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Simplifying 5x + -3 + 2(3 + -1x) = 9x + -2(6 + -1x) 5x + -3 + (3 * 2 + -1x * 2) = 9x + -2(6 + -1x) 5x + -3 + (6 + -2x) = 9x + -2(6 + -1x) Reorder the terms: -3 + 6 + 5x + -2x = 9x + -2(6 + -1x) Combine like terms: -3 + 6 = 3 3 + 5x + -2x = 9x + -2(6 + -1x) Combine like terms: 5x + -2x = 3x 3 + 3x = 9x + -2(6 + -1x) 3 + 3x = 9x + (6 * -2 + -1x * -2) 3 + 3x = 9x + (-12 + 2x) Reorder the terms: 3 + 3x = -12 + 9x + 2x Combine like terms: 9x + 2x = 11x 3 + 3x = -12 + 11x Solving 3 + 3x = -12 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 3 + 3x + -11x = -12 + 11x + -11x Combine like terms: 3x + -11x = -8x 3 + -8x = -12 + 11x + -11x Combine like terms: 11x + -11x = 0 3 + -8x = -12 + 0 3 + -8x = -12 Add '-3' to each side of the equation. 3 + -3 + -8x = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = -12 + -3 -8x = -12 + -3 Combine like terms: -12 + -3 = -15 -8x = -15 Divide each side by '-8'. x = 1.875 Simplifying x = 1.875
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